A PHP Error was encountered

Severity: Warning

Message: count(): Parameter must be an array or an object that implements Countable

Filename: controllers/calculator.php

Line Number: 37

Boolean expression calculator - Online Calculator - Tutorpace

Boolean expression calculator

Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.


Boolean expression is an expression which involves Boolean operators and the final result of the expression is usually
represented by a Boolean value which is either a true statement (T) or a false statement (F). Boolean expressions have
their simplification rules and Boolean expression calculator helps us in getting an easy and quick final result.

Example 1: Prove that A + A  B = A + B

So starting from the left side of the equation,A + A  B

Now according to the Identity law, A T + A B

According to another Identity law A (T + B) + A B

According to Distributive law A T + A B + A B

According to Identity law A + B (A + A)

According to Complement law A + B T

According to Identity law A + B Hence proved!

Example 2: Simplify the given Boolean expression: B + (AB)

In order to simplify the above given Boolean expression, we have to use the Simplification laws of Boolean expressions.

According to DeMorgan’s Law, we have AB = A + B

So B + (A + B)

Now using the Commutative law we get B + (B + A),

Using the Associative law we get (B + B) + A

Using the Complement law we get, T + A

According to Identity law, T + A = T


HAVE A QUESTION? Chat With Our Tutoring Experts Now